(6w+12w") /w +w° dw

Q: If f(4)= 3 and f'(4) = –5, find g'(4) when g(x)=² (4) Your answer

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Q: Vx2+5x-6 lim X-4 16-x2

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

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A:

Q: Use the position function s(t) = -16t2 + vt + s, for free-falling objects. %3D A ball is thrown stra...

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Ki...

Q: 3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at t...

A: dTdt=-k(T-T0)∫ dT(T-T0)=∫-k dtln(T-T0) =-kt+ln CT=T0 +C e-ktat t=0;T(0)=21°CT0 =-6°C21=-6+CC=27T=T0 ...

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Given that f(−9) = −9 and f'(9) = 2, approximate

A: Given query is to find the value do the function at indicated point.

Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

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Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: 1 1 The sequence that begins . could be 3 4 5 6' ... a Fibonacci sequence. an alternating sequence. ...

A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: Evaluate / (ei + a* ) dt

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Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to approximat...

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Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

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Q: Prove that lim(4x² – 25) = -9 X-2

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Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: RX)=5x and C(x)3D0.001x+2.6x+7O,

A: answer of given question is in step 2

Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: We know that Rolle's theorem , If y=f(x) is real valued function of real variable such that, (i) f(x...

Q: 4. Which of the following statements about the definite integral is/are false? f(x)dx=1 II. f(ex)dx=...

A: Given three option We should check the condition is true or false And identify which is false

Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

A:

Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

A:

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A:

Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: tude of 76. t shershec imber.

A: answer of given question is in step 2

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A:

Q: 1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show...

A: Here, the given function is: f(x)=[ln(x+1)] cosh x+tan x, x≥0(sinh x)sec-1(x-2).       x&lt;0

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We know that for the vector u = ai + bj + ck, the unit vector is  u^ = aa2+b2+c2i + ba2+b2+c2j + ca2...

Q: For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24...

A: Let's find. 

Q: DO NOT include spaces in between characters. 31² Determine f'(2) if f(t)=log10 2t – 1 Your answer

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A:

Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

A:

Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

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Q: continuity

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Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

A: P(1,3,-4)Q(0,0,0)R(3,5,1)

Q: ctoo The improper integral I' dx converges for p<-1. True False

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Q: - Trigonometric Integrals "/3 sin3esec20 de

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Q: 3.Determine the equation of an ellipse that satisfies the following properties: - the center point a...

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Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point (1,3...

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

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Q: - tan²(x) sec5 (x)

A: Given query is to find the value of the integral.

Q: Select ALL possible answers if there is more than one. 1 if x<- 16 2. If f(x) is continuous at x =: ...

A: Differentiable

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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Q: Find the critical numbers, if any, of the function f(x) = 3x5 - 25x3 + 60x + 15 and then use a Maple...

A: